Multiple homoclinic solutions for superquadratic Hamiltonian systems

Date

2016-03-10

Authors

Jiang, Wei
Zhang, Qingye

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we study the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ü - L(t)u + Wu(t, u) = 0, ∀t ∈ ℝ, where L is not required to be either uniformly positive definite or coercive, and W is superquadratic at infinity in u but does not need to satisfy the Ambrosetti-Rabinowitz superquadratic condition.

Description

Keywords

Hamiltonian system, Homoclinic solution, Variational method

Citation

Jiang, W., & Zhang, Q. (2016). Multiple homoclinic solutions for superquadratic Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2016</i>(66), pp. 1-12.

Rights

Attribution 4.0 International

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